TORSION UNITS IN INTEGRAL GROUP RINGS OF CONWAY SIMPLE GROUPS

DOI10.1142/S0218196711006376zbMath1234.16025arXiv1012.4489OpenAlexW2031821019MaRDI QIDQ3013892

Steve Linton, Victor A. Bovdi, Olexandr Konovalov

Publication date: 19 July 2011

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4489

zbMATH Keywords

integral group ringspartial augmentationstorsion unitsZassenhaus conjectureConway simple groups

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (8)

Torsion units for a Ree group, Tits group and a Steinberg triality group. ⋮ On the Gruenberg–Kegel graph of integral group rings of finite groups ⋮ Partial augmentations power property: a Zassenhaus conjecture related problem ⋮ On the prime graph question for integral group rings of Conway simple groups ⋮ Torsion units for some almost simple groups ⋮ ZASSENHAUS CONJECTURE FOR INTEGRAL GROUP RING OF SIMPLE LINEAR GROUPS ⋮ Torsion units for some projected special linear groups ⋮ Torsion units in the integral group ring of PSL(3, 4)

Uses Software

• MINION

Cites Work

• Integral group ring of the Mathieu simple group \(M_{12}\).
• Zassenhaus conjecture for \(A_5\)
• On torsion subgroups in integral group rings of finite groups.
• Torsion units in integral group rings of Janko simple groups
• Torsion Units in Integral Group Ring of the Mathieu Simple GroupM₂₂
• Partial augmentations and jordan decomposition in group ring
• Integral Group Ring of the Mathieu Simple GroupM₂₃
• On the Torsion Units of Some Integral Group Rings
• On the Structure of Group Algebras, I
• A Group of Order 8,315,553,613,086,720,000

This page was built for publication: TORSION UNITS IN INTEGRAL GROUP RINGS OF CONWAY SIMPLE GROUPS